website reports that 70% of its users are from outside a certain country. Out of their users from outside the country, 60% of them log on every day. Out of their users from inside the country, 80% of them log on every day. Using Bayes’ Theorem, out of users who log on every day, what is the

A survey showed that 76​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 14 adults are randomly​ selected, find the probability that at least 13 of them need correction for their eyesight. Is 13 a significantly high number of adults requiring eyesight​ correction?

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.03.  The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.22.  The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.37.  What is the probability that the Bucs will have 3 or more sacks in the game?

An airline has a policy of booking as many as 18 persons on an airplane that can seat only 17. past studies have revealed that only 81% of the booked passengers actually arrive for the flight.  find the probability that if the airline books 18 persons not enough seats will be available.

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.26.  The probability that their defense will have 3 or more sacks in the game is 0.15.  The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.06.  What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?

A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…

A certain typing agency employs two typists. The average number of errors per article is 1.21.2 when typed by the first typist and 55 when typed by the second. If your article is equally likely to be typed by either typist, find the probability that it will have no errors.

An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?